Read this article to figure out how to calculate the lowest common denominator of . Learn the two different methods that you can use to find the LCD: the prime factorization method and the LCD formula method. We will explain both these methods in detail so stick around until the very end to understand. Utilise our free LCD Calculator to avail the LCD of numbers easily.
Given numbers are 386,646,485
We can find the LCD of numbers 386,646,485 by the prime factorization method or by applying the LCD formula.
The LCD of 386,646,485 is 60468830.
2 | 386, 646, 485 |
193, 323, 485 |
As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
2 x 193 x 323 x 485 = 60468830
Thus, we have determined that the LCD of 386,646,485 is 60468830
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 386 and 646. To find the GCF, list down the factors of 386 and 646 and select the highest factor that appears in both lists of factors.
386 : [1, 2, 193, 386]
646 : [1, 2, 17, 19, 34, 38, 323, 646]
From this, we can see that the GCF of 386 and 646 is 2.
Now, put this into the LCD formula.
LCD(386, 646) = ( 386 x 646 ) / 2
LCD(386, 646) = 249356 / 2
LCD(386, 646) = 124678
Step2:
Find the GCF of 124678 and 485. To find the GCF, list down the factors of 124678 and 485 and select the highest factor that appears in both lists of factors.
124678 : [1, 2, 17, 19, 34, 38, 193, 323, 386, 646, 3281, 3667, 6562, 7334, 62339, 124678]
485 : [1, 5, 97, 485]
From this, we can see that the GCF of 124678 and 485 is 1.
Now, put this into the LCD formula.
LCD(124678, 485) = ( 124678 x 485 ) / 1
LCD(124678, 485) = 60468830 / 1
LCD(124678, 485) = 60468830
LCD of 386,646,485 is 60468830
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of ?
Answer: LCD of is .
2. How to find LCD of using prime factorization ?
Answer: Just keep dividing by prime numbers until only co-primes are left over. At that point, simply multiply the co-primes with the prime numbers on the left. The answer will be , the LCD.
3. How to Find the LCD of using LCD formula ?
Answer: The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b).
You must first calculate the LCD OF and . Then, find the LCD of that answer and and so on. The answer will be , which is the LCD of .